Relation between E and B of em radiation

In summary, the relationship between E (electric field) and B (magnetic field) in electromagnetic radiation is described by Maxwell's equations, which state that they are perpendicular to each other and vary in magnitude and direction as the wave travels through space. The strength of both fields decrease as the wave propagates, due to the inverse square law. The electric field is responsible for the force on charged particles, while the magnetic field is responsible for the force on charged particles in motion. The frequency of the radiation does not affect the relationship between E and B, as the ratio of their strengths remains constant. E and B are essential in creating and sustaining the wave as it travels through space.
  • #1
Pushoam
962
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Homework Statement


upload_2017-12-12_16-50-16.png

Homework Equations

The Attempt at a Solution


From the equation it is clear that the wave is propagating in y direction.

So, the magnetic field is along z- axis. ……….(1)

Dimensionally B = E/v……….(2)

According to the above two conditions , the correct option is (c).

Is this correct?
 

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  • #2
Pushoam said:
According to the above two conditions , the correct option is (c).

Sorry, the correct option is (d).

And there is no phase difference between magnetic and electric field.
 

Related to Relation between E and B of em radiation

1. What is the relationship between E and B in electromagnetic radiation?

The relationship between E (electric field) and B (magnetic field) in electromagnetic radiation is described by Maxwell's equations. These equations state that the electric and magnetic fields are perpendicular to each other and vary in magnitude and direction as the wave propagates through space. The ratio of the electric field strength to the magnetic field strength is known as the impedance of free space, and is equal to the speed of light.

2. How does the strength of the electric and magnetic fields change as electromagnetic radiation travels through space?

As electromagnetic radiation travels through space, both the electric and magnetic fields decrease in strength. This is due to the inverse square law, which states that the intensity of a wave decreases with the square of the distance from the source. Therefore, as the wave propagates through space, the electric and magnetic fields become weaker.

3. What is the difference between the electric and magnetic fields in electromagnetic radiation?

The electric field in electromagnetic radiation is responsible for the force that acts on charged particles, while the magnetic field is responsible for the force that acts on charged particles in motion. Additionally, the electric field is perpendicular to the magnetic field and both fields oscillate in a perpendicular direction to the direction of propagation of the wave.

4. How does the frequency of electromagnetic radiation affect the relationship between E and B?

The frequency of electromagnetic radiation does not affect the relationship between E and B. According to Maxwell's equations, the ratio of the electric field strength to the magnetic field strength (impedance) is constant and is equal to the speed of light. This means that as the frequency increases, both the electric and magnetic fields will increase in magnitude to maintain this constant ratio.

5. What role do E and B play in the propagation of electromagnetic radiation?

E and B are essential components in the propagation of electromagnetic radiation. The alternating electric and magnetic fields are responsible for creating and sustaining the wave as it travels through space. Without these fields, electromagnetic radiation would not exist.

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